Well, I can second all of this, except that surprisingly, there is one additional thing that Public School teachers have more of. That is money. Public school districts pay better than private schools. Often that is true even for prestige private schools.
The only other thing I ever found better about public school teaching was the satisfaction of helping hardluck kids who didn’t already have a life full of advantages. Private school kids sometimes feel like they don’t even need you, because they are going to do fine no matter what. The good poor kids always appreciated when you went the extra mile for them. Of course, there sure were a lot of chances for heartbreak when their lives crashed and burned.
I now teach in an overseas private school. I miss the kids and a few colleagues, but I sure don’t miss the school.
